MR-DA-1 Using the dimensions given for the variables in the table, determine which of the following expressions could be correct.

MR-DA-2 The surface of a lake has an area of 15.5 km². What is the area of the lake in m²?

1. 1.55x10⁷ m²
2. 3.10x10⁵ m²
3. 1.55x10⁴ m²
4. 15.5x10³ m²
5. 30.1x10² m²
 

MR-DA-3 A woodworker has made four small airplanes and one large airplane. All airplanes are exactly the same shape, and all are made from the same kind of wood. The larger plane is twice as large in every dimension as one of the smaller planes. The planes are to be painted and then shipped as gifts.

The amount of paint required to paint the planes is directly proportional to the surface area. Will the amount of paint required for the single plane in Case A be _____ the total amount of paint required for all four planes in Case B?.

1. greater than
2. equal to
3. less than

MR-DA-4 A woodworker has made four small airplanes and one large airplane. All airplanes are exactly the same shape, and all are made from the same kind of wood. The larger plane is twice as large in every dimension as one of the smaller planes. The planes are to be painted and then shipped as gifts.

The shipping cost for the planes is proportional to the weight which is related directly to the volume. Will the weight of the single plane in Case A be _____ the total weight of all four planes in Case B?

1. greater than
2. less than
3. equal to

MR-DA-5 You have 1 Gallon of paint. Estimate the length, in meters, of each side of the largest square you could paint.

Note: 1 cubic foot is equal to 7.48 gallons and there are 3.28 ft per meter.

MR-DA-6 Create a model to estimate the distance, in Angstroms, between Carbon atoms in diamond.

Note: The molar mass of Carbon is 12.01 g/mol, the density of diamond is around 3.50 g/cm³, and an Angstrom is equal to 1 x 10^-10 m.